Physics

Angle of Banking Calculator

Find the ideal banking angle for a curve at a given speed.

Speed

Radius

Gravity (m/s²)

Calculated Output

Banking angle (°) 38.533

Formula: θ = arctan(v² ÷ (r·g))

Step-by-Step Breakdown

1. Values used:

2. Speed = 25

3. Radius = 80

4. Gravity = 9.81 m/s²

6. Banking angle = 38.533°

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The math behind it

θ = arctan(v² ÷ (r·g)). At this angle the horizontal component of the normal force supplies the centripetal force.

25 m/s on an 80 m radius → about 38.5°.

What if speed is higher than ideal?

Friction must make up the difference, or the car slides outward.